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Finding the Fourth Proportional to 1,478.21, 2,039.06 and 954.55

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Solution

The fourth proportional to 1,478.21, 2,039.06 and 954.55 is: 1,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.21 : 2,039.06 = 954.55 : x
  2. Step 2: Convert to fraction form
    1,478.21/2,039.06 = 954.55/x
  3. Step 3: Cross multiply
    1,478.21x = 2,039.06 × 954.55
  4. Step 4: Simplify right side
    1,478.21x = 1,946,369.75
  5. Step 5: Solve for x
    x = 1,946,369.75/1,478.21
  6. Step 6: Final answer
    x = 1,316.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.